The Monash Museum of Computing History was established at Monash University, Melbourne, Australia in 2001. This university museum has a growing collection of early computer equipment and a permanent exhibition tracing the development of computing technology within an Australian context and particularly related to computing at Monash University. The Museum has been evolving since its inception with greater definition of its collection policy, defined collection management and its role as a repository for computing history and the dissemination of its research. This paper gives an overview of the origins of the Museum, current activities and future directions.